Question

If S is the total surface area of a cube and V is its volume, then which one of the following is correct?

• A. $V^3=216S^2$
• B. $S^3=216V^2$
• C. $S^3=6V^2$
• D. $S^2=36V^3$

Answer 1

Answer: (B)

$S^3=216V^2$

$S=6a^2;V=a^3$
Then $S^3=216a^6=216(a^3{)}^2$ or $S^3=216V^2$